Search a number
-
+
3112101324 = 223449919249
BaseRepresentation
bin1011100101111110…
…1110010111001100
322000212222010110000
42321133232113030
522333144220244
61232451044300
7140056265463
oct27137562714
98025863400
103112101324
111357777872
1272a2a0690
133a79a4197
142174679da
15133339169
hexb97ee5cc

3112101324 has 60 divisors (see below), whose sum is σ = 8152375000. Its totient is φ = 1035234432.

The previous prime is 3112101299. The next prime is 3112101341. The reversal of 3112101324 is 4231012113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3112101297 and 3112101306.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152052 + ... + 171300.

Almost surely, 23112101324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112101324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076187500).

3112101324 is an abundant number, since it is smaller than the sum of its proper divisors (5040273676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3112101324 is a wasteful number, since it uses less digits than its factorization.

3112101324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19764 (or 19753 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3112101324 is about 55786.2108768825. The cubic root of 3112101324 is about 1459.9945774491.

Adding to 3112101324 its reverse (4231012113), we get a palindrome (7343113437).

The spelling of 3112101324 in words is "three billion, one hundred twelve million, one hundred one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 499 998 1497 1996 2994 4491 5988 8982 13473 17964 19249 26946 38498 40419 53892 57747 76996 80838 115494 161676 173241 230988 346482 519723 692964 1039446 1559169 2078892 3118338 6236676 9605251 19210502 28815753 38421004 57631506 86447259 115263012 172894518 259341777 345789036 518683554 778025331 1037367108 1556050662 3112101324